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University of Illinois at Urbana-Champaign
Double Crossproducts of Hopf* Algebras, Discrete Quantum Groups and Amenable Groups
Abstract
dc:descriptionIn Appendix A, we consider a third construction, the bicrossproduct which is a simultaneous cross product/cross coproduct construction. We find conditions which ensure that the bicrossproduct of two Hopf $\sp{\*}$ algebras is a Hopf $\sp{\*}$ algebra. In Appendix B, we provide physical motivation for studying bicrossproducts by describing a possible theory of quantum gravity where the algebra of quantum observables is a bicrossproduct.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Fitzgerald, Kevin Francis
- Contributors dc:contributor
-
- Ruan, Zhong-Jin
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9717274
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86940